Trajectories connecting two events of a Lorentzian manifold in the presence of a vector field

DOI10.1006/JDEQ.1998.3521zbMath0926.58007OpenAlexW2094277580MaRDI QIDQ1284428

Rossella Bartolo

Publication date: 21 November 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3521

zbMATH Keywords

Lorentzian manifoldtrajectories on manifolds

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (6)

Trajectories for relativistic particles under the action of an electromagnetic field in a stationary space-time ⋮ Stationary Lorentz manifolds and vector fields: existence of periodic trajectories ⋮ Time-like solutions to the Lorentz force equation in time-dependent electromagnetic and gravitational fields ⋮ A variational setting for an indefinite Lagrangian with an affine Noether charge ⋮ Connecting solutions of the Lorentz force equation do exist ⋮ Periodic trajectories on Lorentz manifolds under the action of a vector field

Cites Work

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• On the existence of multiple geodesics in static space-times
• The imbedding problem for Riemannian manifolds
• On the existence of infinitely many geodesics on space-time manifolds
• Category of loop spaces of open subsets in euclidean space
• General relativity and cosmology

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